article
Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips
published
yes
Christian
Sadel
author 4760E9F8-F248-11E8-B48F-1D18A9856A870000-0001-8255-3968
LaEr
department
NSERC Postdoctoral fellowship
project
International IST Postdoc Fellowship Programme
project
We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set.
Springer2014
eng
Mathematical Physics, Analysis and Geometry
1304.386210.1007/s11040-014-9163-4
173-4409 - 440
C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
Sadel C. 2014. Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. Mathematical Physics, Analysis and Geometry. 17(3–4), 409–440.
Sadel, C. (2014). Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and Geometry</i>. Springer. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>
Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 17, no. 3–4, Springer, 2014, pp. 409–40, doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>.
C. Sadel, “Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 17, no. 3–4. Springer, pp. 409–440, 2014.
Sadel C. Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and Geometry</i>. 2014;17(3-4):409-440. doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>
Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer, 2014. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>.
19262018-12-11T11:54:45Z2021-01-12T06:54:07Z